Выполните сложение:
а) $2\frac{3}{4} + 1\frac{2}{3}$;
б) $8\frac{3}{5} + 1\frac{9}{10}$;
в) $\frac{7}{20} + 8\frac{3}{4}$;
г) $3\frac{4}{5} + 1\frac{1}{3}$;
д) $12\frac{5}{6} + \frac{4}{15}$.
$2\frac{3}{4} + 1\frac{2}{3} = 2\frac{9}{12} + 1\frac{8}{12} = 2 + \frac{9}{12} + 1 + \frac{8}{12} = 3 + \frac{17}{12} = 3 + 1\frac{5}{12} = 3 + 1 + \frac{5}{12} = 4 + \frac{5}{12} = 4\frac{5}{12}$
$8\frac{3}{5} + 1\frac{9}{10} = 8\frac{6}{10} + 1\frac{9}{10} = 8 + \frac{6}{10} + 1 + \frac{9}{10} = 9 + \frac{15}{10} = 9 + \frac{3}{2} = 9 + 1\frac{1}{2} = 9 + 1 + \frac{1}{2} = 10 + \frac{1}{2} = 10\frac{1}{2}$
$\frac{7}{20} + 8\frac{3}{4} = \frac{7}{20} + 8\frac{15}{20} = \frac{7}{20} + 8 + \frac{15}{20} = 8 + \frac{22}{20} = 8 + \frac{11}{10} = 8 + 1\frac{1}{10} = 8 + 1 + \frac{1}{10} = 9 + \frac{1}{10} = 9\frac{1}{10}$
$3\frac{4}{5} + 1\frac{1}{3} = 3\frac{12}{15} + 1\frac{5}{15} = 3 + \frac{12}{15} + 1 + \frac{5}{15} = 4 + \frac{17}{15} = 4 + 1\frac{2}{15} = 4 + 1 + \frac{2}{15} = 5 + \frac{2}{15} = 5\frac{2}{15}$
$12\frac{5}{6} + \frac{4}{15} = 12\frac{50}{60} + \frac{16}{60} = 12 + \frac{50}{60} + \frac{16}{60} = 12 + \frac{66}{60} = 12 + \frac{11}{10} = 12 + 1\frac{1}{10} = 12 + 1 + \frac{1}{10} = 13 + \frac{1}{10} = 13\frac{1}{10}$
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